The FCC grantee listed on that Sunshine Enhanced Keyboard is FY4, assigned to Deyi Technology Co Ltd. (Observe where it says "FCC ID" on the label. The first three characters are the grantee (the company who registered the product with the FCC in the US) and the remainder of the characters identify the product.)
From there, you get this:photos-f62/kaypro-386-keyboard-t6917.html
There is a particular style of keycap mount that I thought this was (it's hard to explain) but on closer inspection I can see that there is nothing to hold the keycap steady. The reason being is that the keystem has snapped off, which you can just see if you look closely. Therefore it seems to be exactly the same as the Kaypro keyboard. That keyboard is clicky foam and foil.
A/X switches between the AT and XT keyboard protocols. AT is basically PS/2 with a fat plug.
It's also almost—but not quite—identical to the Monterey K101/K102. The corners of the case are rounded differently.